Double weakness

S. Garti*, S. Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal λ for which the sequence ⟨ 2 θ: θ< λ⟩ is not eventually constant and the weak diamond fails at λ.We also prove that consistently diamond fails but a parametrized version of weak diamond holds at some strongly inaccessible λ.

Original languageAmerican English
Pages (from-to)379-391
Number of pages13
JournalActa Mathematica Hungarica
Issue number2
StatePublished - Apr 2021

Bibliographical note

Publisher Copyright:
© 2021, Akadémiai Kiadó, Budapest, Hungary.


  • Cohen forcing
  • Radin forcing
  • very weak diamond
  • weak diamond
  • weakly inaccessible


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